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GATE

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GATE formulas

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Computer Science

Symmetric and Reflexive Relations

Computer Science

\[Number_of_symmetric_and_reflexive_relations = 2 ^ ( ( ( n \cdot ( n - 1 ) ) / ( 2 ) ) )\]
GATE
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Computer Science

Symmetric Relations

Computer Science

\[Number_of_symmetric_relations = 2 ^ ( ( ( n \cdot ( n + 1 ) ) / ( 2 ) ) )\]
GATE
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Electrical Engineering

Symmetrical breaking current

Electrical Engineering

\[Symmetrical_breaking_current = r \cdot m \cdot s \cdot value_of_a_c_component\]
GATE
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Electrical Engineering

Synchronizing Power in synchronous motor

Electrical Engineering

\[Synchronizing_{power} = P_{sy} \cdot \Delta\]
GATE
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Electrical Engineering

Synchronizing torque in synchronous motor

Electrical Engineering

\[Synchronizing_{torque} = \frac{Synchronizing_{power}}{\omega}\]
GATE
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Electrical Engineering

Synchronous Motor Short circuit ratio

Electrical Engineering

\[( SCR ) = ( ( I_fm ) / ( I_ \cdot ( f_a ) ) )\]
GATE
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Electrical Engineering

Synchronous speed

Electrical Engineering

\[N_s = synchronous_speed\]
GATE
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Mechanical Engineering

Tensile stress in the bolt

Mechanical Engineering

\[\sigma_{t} = \frac{P}{\frac{\pi}{4} \cdot {d_{c}}^{2}}\]
GATE
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Mechanical Engineering

Tension in Simple band brake

Mechanical Engineering

\[T_{1} = \sigma \cdot t \cdot w \cdot t\]
GATE
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Electrical Engineering

Terminal voltage of the DC generator

Electrical Engineering

\[V_t = E_a - I_a \cdot R_a\]
GATE
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Electrical Engineering

Terminal voltage of the DC motor

Electrical Engineering

\[V_t = E_a + I_a \cdot R_a\]
GATE
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Mechanical Engineering

Thermal diffusivity

Mechanical Engineering

\[\alpha = \frac{k}{\rho \cdot c}\]
GATE
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Mechanical Engineering

Thermal Resistance--Parallel Combination

Mechanical Engineering

\[R_{e} \cdot q = \frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}}}\]
GATE
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Mechanical Engineering

Thermal Resistance-Series Combination

Mechanical Engineering

\[R_a \cdot q = R_1 + R_2 + R_3\]
GATE
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Mechanical Engineering

Thermal Stresses in Taper Bars

Mechanical Engineering

\[Stress = \alpha \cdot L \cdot \Delta \cdot T\]
GATE
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Civil Engineering

Threshold odour number (TON)

Civil Engineering

\[T_{O\_N} = \frac{Final_{volume\_at\_which\_odour\_is\_hardly\_det\_ectable}}{Sample_{volume}}\]
GATE
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Computer Science

Throughput Calculations

Computer Science

\[Throughput = Channel_Utilization \cdot Channel_Bandwidth\]
GATE
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Computer Science

Throughput of Pipeline

Computer Science

\[Throughput_{of\_pipeline} = \frac{Total_{number\_of\_tasks\_to\_perform}}{Total_{time\_to\_perform\_the\_task\_with\_Pipeline}}\]
GATE
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Electrical Engineering

Tidal power

Electrical Engineering

\[P = \frac{\rho \cdot {gh}^{2} \cdot A}{T}\]
GATE
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Computer Science

Time Complexity

Computer Science

\[Time_complexity = log ( log \cdot n )\]
GATE
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Civil Engineering

Time of horizontal flow, or Detention time

Civil Engineering

\[t = \frac{B \cdot L \cdot H}{Q}\]
GATE
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Mechanical Engineering

Time t in Purchase Model with Shortage

Mechanical Engineering

\[t = \frac{Q}{D}\]
GATE
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Mechanical Engineering

Time t1 in Manufacturing Model with Shortfall

Mechanical Engineering

\[t = \frac{Q}{D}\]
GATE
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Mechanical Engineering

Time t1 in Purchase Model with Shortage

Mechanical Engineering

\[t_{1} = \frac{Q_{1}}{D}\]
GATE
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